A cylinder of diameter 16 cm and height 19cm is surmounted by
a conical solid of same diameter and height 6 cm. Find the total
surface area of the solid.
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Given : A cylinder of diameter 16 cm and height 19 cm is surmounted by
a conical solid of same diameter and height 6 cm.
To Find : the total surface area of the solid.
Solution:
Diameter = 16 cm
=> radius r = 16/2 = 8 cm
Height of cylinder = h = 19 cm
Height of cone = 6 cm
Slant height of cone L = √8² + 6² = 10 cm
Total Surface area = πr² + 2πrh + πrL
= πr (r + 2h + L)
= (22/7) * 8 x ( 8 + 2(19) + 10)
= (176/7) ( 56)
= 176 * 8
= 1408 cm²
Total Surface area = 1408 cm²
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